211825680 has 320 divisors, whose sum is σ = 779950080. Its totient is φ = 47001600.

The previous prime is 211825667. The next prime is 211825681. The reversal of 211825680 is 86528112.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (211825681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056509 + ... + 2056611.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^211825680 is an apocalyptic number.

211825680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211825680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

211825680 is an abundant number, since it is smaller than the sum of its proper divisors (568124400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211825680 is a wasteful number, since it uses less digits than its factorization.

211825680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 211825680 is about 14554.2323741240. The cubic root of 211825680 is about 596.1097196016.

It can be divided in two parts, 21182 and 5680, that added together give a palindrome (26862).

The spelling of 211825680 in words is "two hundred eleven million, eight hundred twenty-five thousand, six hundred eighty".